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Finding the Fourth Proportional to 438,049.70, 657,074.55 and 305,080.10

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Solution

The fourth proportional to 438,049.70, 657,074.55 and 305,080.10 is: 457,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,049.70 : 657,074.55 = 305,080.10 : x
  2. Step 2: Convert to fraction form
    438,049.70/657,074.55 = 305,080.10/x
  3. Step 3: Cross multiply
    438,049.70x = 657,074.55 × 305,080.10
  4. Step 4: Simplify right side
    438,049.70x = 200,460,369,421.46
  5. Step 5: Solve for x
    x = 200,460,369,421.46/438,049.70
  6. Step 6: Final answer
    x = 457,620.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.